The ways to improve the computational efficiency of the Frost filter and make it robust in respect to spikes are considered. A hard-switching adaptive procedure is proposed and the aspects of proper selection of linear filter parameters and threshold values are discussed. Then the idea of subsequent application of FTR- median hybrid filter is put forward. Quantitative and visual simulation results are presented for different p.d.f.s of multiplicative noise to compare the properties and to demonstrate the advantages of proposed modifications. Real synthetic aperture radar and artificial image processing results are demonstrated.